An article described a study that compared flu vaccine administered by injection and flu vaccine administered as a nasal spray. Each of the 8,000 children under the age of 5 who participated in the study received both a nasal spray and an injection, but only one was the real vaccine and the other was salt water. At the end of the flu season, it was determined that of the 4,000 children receiving the real vaccine by nasal spray, 3.5% got the flu. Of the 4,000 receiving the real vaccine by injection, 8.2% got the flu.   b) Use a 99% confidence interval to estimate the difference in the proportion of children who get the flu after being vaccinated with an injection and the proportion of children who get the flu after being vaccinated with the nasal spray. (Use pinjection − pnasal spray. Use a table or SALT. Round your answers to three decimal places.)

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An article described a study that compared flu vaccine administered by injection and flu vaccine administered as a nasal spray. Each of the 8,000 children under the age of 5 who participated in the study received both a nasal spray and an injection, but only one was the real vaccine and the other was salt water. At the end of the flu season, it was determined that of the 4,000 children receiving the real vaccine by nasal spray, 3.5% got the flu. Of the 4,000 receiving the real vaccine by injection, 8.2% got the flu.
 
b)
Use a 99% confidence interval to estimate the difference in the proportion of children who get the flu after being vaccinated with an injection and the proportion of children who get the flu after being vaccinated with the nasal spray. (Use pinjection − pnasal spray. Use a table or SALT. Round your answers to three decimal places.)
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